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Finding the Fourth Proportional to 191,692, 264,523.92 and 106,806.08

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Solution

The fourth proportional to 191,692, 264,523.92 and 106,806.08 is: 147,386.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,692 : 264,523.92 = 106,806.08 : x
  2. Step 2: Convert to fraction form
    191,692/264,523.92 = 106,806.08/x
  3. Step 3: Cross multiply
    191,692x = 264,523.92 × 106,806.08
  4. Step 4: Simplify right side
    191,692x = 28,252,762,961.43
  5. Step 5: Solve for x
    x = 28,252,762,961.43/191,692
  6. Step 6: Final answer
    x = 147,386.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.